Abstract
This paper presents the one-soliton solution to the Biswas-Milovic equation with Kerr law nonlinearity. This paper studies the perturbed Biswas-Milovic equation by the aid of the Exp-function method. By means of the Exp-function method, we report further exact travelling wave solutions, in a concise form, to the Biswas-Milovic equation which admits physical significance in applications. Not only solitary and periodic waves but also hyperbolic solutions are observed.
Similar content being viewed by others
References
A. Biswas, A.B. Aceves, J. Mod. Opt. 48, 1135 (2001).
A. Biswas, D. Milovic, Commun. Nonlinear Sci. Numer. Simulat. 15, 3763 (2010).
A. Biswas, C. Cleary, J.E. Watson, D. Milovic, Appl. Math. Comput. 217, 2891 (2010).
A. Biswas, D. Milovic, F. Majid, R. Kohl, J. Elect. Waves Appl. 22, 1735 (2008).
A. Biswas, M. Fessak, S. Johnson, S. Bertrice, D. Milovic, Z. Jovanoski, R. Kohl, F. Majid, Opt. Laser Technol. 44, 263 (2012).
A. Biswas, D. Milovic, R. Kohl, Inv. Probl. Sci. Eng. 20, 227 (2012).
A. Biswas, E. Topkara, S. Johnson, E. Zerrad, S. Konar, J. Nonlinear Opt. Phys. Mater. 20, 309 (2011).
A. Biswas, Milovic D., Commun. Nonlinear Sci. Numer. Simulat. 15, 1473 (2010).
C.M. Khalique, Appl. Math. Comput. 217, 7400 (2011).
B. Sturdevant, Nonlinear Anal. Real World Appl. 11, 2871 (2010).
Z.Y. Zhang, Z.H. Liu, X.J. Miao, Y.Z. Chen, Phys. Lett. A 375, 1275 (2011).
H. Jafari, A. Soorakia, C.M. Khalique, Optik 124, 3929 (2013).
A. Biswas, S. Konar, Introduction to Non-Kerr Law Optical Solitons (CRC Press, Boca Raton, FL, USA, 2006).
R. Kohla, R. Tinaztepeb, A. Chowdhury, Optik 125, 1926 (2014).
C.M. Khalique, Appl. Math. Comput. 217, 7400 (2011).
I. Ahmed, C. Mu, F. Zhang, Int. J. Appl. Math. Res. 2, 418 (2011).
S.H. Crutcher, A. Oseib, Optik 124, 4678 (2013).
M.J. Ablowitz, P.A. Clarkson, Solitons, nonlinear evolution equations and inverse scattering (Cambridge University Press, Cambridge, 1991).
R. Hirota, The Direct Method in Soliton Theory (Cambridge University Press, Cambridge, 2004).
M. Dehghan, J. Manafian, A. Saadatmandi, Numer. Methods Partial Differ. Equ. J. 26, 448 (2010).
M. Dehghan, J. Manafian, A. Saadatmandi, Z. Naturforsch. 65a, 935 (2010).
J.H. He, Int. J. Nonlinear Mech. 34, 699 (1999).
M. Dehghan, J. Manafian, A. Saadatmandi, Math. Methods Appl. Sci. 33, 1384 (2010).
M. Dehghan, J. Manafian, Z. Naturforsch. 64a, 420 (2009).
A.M. Wazwaz, Appl. Math. Comput. 177, 755 (2006).
C.L. Bai, H. Zhao, Chaos Solitons Fractals 27, 1026 (2006).
X.H. Menga, W.J. Liua, H.W. Zhua, C.Y. Zhang, B. Tian, Physica A 387, 97 (2008).
A.M. Wazwaz, Chaos Solitons Fractals 188, 1930 (2007).
J. Manafian Heris, M. Lakestani, Commun. Numer. Anal. 2013, 1 (2013).
A. Jabbari, J. Manafian Heris, H. Kheiri, A. Bekir, Int. J. Biomath. 07, 1450025 (2014).
J. Manafian Heris, M. Nasrollahpour, ISRN Appl. Math. 2014, 1 (2014).
J.H. He, Non-perturbative method for strongly nonlinear problems (Dissertation, De-Verlag im Internet GmbH, Berlin, 2006).
J.H. He, X.H. Wu, Chaos Solitons Fractals 30, 700 (2006).
J.H. He, M.A. Abdou, Chaos Solitons Fractals 34, 1421 (2007).
A. Boz, A. Bekir, Comput. Math. Appl. 56, 1451 (2008).
J. Manafian Heris, M. Bagheri, J. Math. Ext. 4, 77 (2010).
C. Chun, Phys. Lett. 372, 2760 (2008).
A.M. Wazwaz, Appl. Math. Comput. 202, 275 (2008).
M. Dehghan, J. Manafian, A. Saadatmandi, Int. J. Numer. Methods Heat Fluid Flow 21, 736 (2011).
S. Zhang, Chaos Solitons Fractals 38, 270 (2008).
N. Ngarhasta, B. Some, K. Abbaoui, Y. Cherruault, Kybernetes 31, 61 (2002).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Manafian, J., Lakestani, M. Optical solitons with Biswas-Milovic equation for Kerr law nonlinearity. Eur. Phys. J. Plus 130, 61 (2015). https://doi.org/10.1140/epjp/i2015-15061-1
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2015-15061-1